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Finding the Fourth Proportional to 437,761.20, 656,641.80 and 157,287.60

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Solution

The fourth proportional to 437,761.20, 656,641.80 and 157,287.60 is: 235,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,761.20 : 656,641.80 = 157,287.60 : x
  2. Step 2: Convert to fraction form
    437,761.20/656,641.80 = 157,287.60/x
  3. Step 3: Cross multiply
    437,761.20x = 656,641.80 × 157,287.60
  4. Step 4: Simplify right side
    437,761.20x = 103,281,612,781.68
  5. Step 5: Solve for x
    x = 103,281,612,781.68/437,761.20
  6. Step 6: Final answer
    x = 235,931.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.